Almost Periodic Solution for an Epidemic Prey-Predator System with Impulsive Effects and Multiple Delays

Baodan Tian, Ning Chen, Yanhong Qiu
2015 Discrete Dynamics in Nature and Society  
A nonautonomous epidemic prey-predator system with impulsive effects and multiple delays is considered; further, there is an epidemic disease in the predator. By the mean-value theorem of multiple variables, integral inequalities, differential inequalities, and other mathematical analysis skills, sufficient conditions which guarantee the permanence of the system are obtained. Furthermore, by constructing a series of Lyapunov functionals it is proved that there exists a unique uniformly
more » ... cally stable almost periodic solution of the system.
doi:10.1155/2015/486463 fatcat:2jjwwrqt75ft7kquswc7lbvyqy